Write an equation that describes the functions
Functions: 0,0 1,4 2,8 3,12
Y=?

The expression (-5√2 + 3√√3) (-6√2 - 2√3) can be expanded and simplified.

To expand and simplify the given expression, we will use the distributive property to multiply each term in the first set of parentheses by each term in the second set of parentheses.

(-5√2 + 3√√3) (-6√2 - 2√3) expands to (-5√2 x-6√2) + (-5√2 x -2√3) + (3√√3 x -6√2) + (3√√3 * -2√3).

Simplifying each term individually, we have:

(-5√2 x -6√2) = 30 * 2 = 60,

(-5√2 x -2√3) = 10√6,

(3√√3 x-6√2) = -18√6,

(3√√3 x -2√3) = -6 * 3 = -18.

Putting it all together, the simplified expression is 60 + 10√6 - 18√6 - 18, which can be further simplified as 42 - 8√6. Thus, the expanded and simplified form of (-5√2 + 3√√3) (-6√2 - 2√3) is 42 - 8√6.

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Answer:

5 fluid ounces

Step-by-step explanation:

Answer:

This is a function

Step-by-step explanation:

As you can see, all of the x-coordinates are different which means it is a function

Answer: square root of 29

Step-by-step explanation:

Given the question :

Distance between (4, 7) and (2, 2)

Distance between two points is given by:

Distance = sqrt[(X2 - X1)² + (Y2 - Y1)²]

X1 = 4 ; Y1 = 7 ; X2 = 2 ; Y2 = 2

Distance = sqrt[(2 - 4)² + (2 - 7)²]

Distance = sqrt[(-2² + - 5²)]

= sqrt(4 + 25)

= sqrt(29)

Answer:

the answer is -101

Step-by-step explanation:

hope this helps

- x - y - z = - 8 ------- (1)

- 4x + 4y + 5z = 7 -------- (2)

2x + 2z = 4 --------- (3)

From (3): x + z = 2

                     x = 2 - z --------- (4)

Substitute (4) into (1),

- x - y - z = - 8

- (2-z) - y - z = - 8

- 2 + z - y - z = -8

- 2 - y = - 8

2 + y = 8

Therefore, y = 6

Substitute y = 6 and (4) into (2),

- 4x + 4y + 5z = 7

- 4(2 - z) + 4(6) + 5z = 7

- 8 + 4z + 24 + 5z = 7

9z + 16 = 7

9z = - 9

Therefore, z = - 9

Substitute z = - 9 into (4),

x = 2 - z

x = 2 - (-9)

x = 2 + 9

Therefore x = 11

Solution:

x = 11

y = 6

z = -9

Answer: 1/16

Step-by-step explanation:

Each number in the series is half of the previous number. The negatives alternate with the positives. So they must be multipling by -1/2.

-1/8(-1/2) = 1/16

After that would be

1/16(-1/2) = -1/32

Hope this helps. (And maybe worth Brainliest)

True. the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure.

A binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent Bernoulli trials. Each trial in a binomial distribution has two possible outcomes, which are mutually exclusive and collectively exhaustive. These outcomes are typically classified as success or failure, yes or no, heads or tails, etc. Therefore, the statement that a binomial distribution categorizes outcomes into one of two mutually exclusive categories (a success or a failure) is true.

In more detail, a binomial distribution requires the following characteristics:

1. The experiment consists of a fixed number of trials, denoted by "n".

2. Each trial has only two possible outcomes, often referred to as success (S) and failure (F).

3. The probability of success, denoted by "p," remains constant across all trials.

4. The trials are independent of each other, meaning the outcome of one trial does not affect the outcome of any other trial.

By using these characteristics, the binomial distribution allows us to calculate the probabilities of different numbers of successes in the given number of trials. It provides a framework for understanding and predicting outcomes in situations where there are two mutually exclusive possibilities.

For example, consider flipping a fair coin 10 times and counting the number of heads (successes). In this case, the binomial distribution can help determine the probabilities of getting 0, 1, 2, 3, or more heads out of the 10 flips. The outcomes of heads and tails are mutually exclusive, and the probability of getting a head (success) or a tail (failure) is the same for each flip.

In summary, the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure. This distribution is widely used in various fields, including statistics, probability theory, and hypothesis testing, to analyze situations where there are only two possible outcomes for each trial.

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The deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".

To decipher the given statement using a St. Cyr slide, we need to determine the correct length of the slide. Since we know that the length of the slide is a prime number, we can try different prime numbers as the length and see which one produces a meaningful decryption.

Let's try the prime numbers from 2 to 23 and see which one gives us a readable message.

Using a St. Cyr slide with a length of 2:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

DRDVORDQRBKZRSXOHOBMSBOCRROEUXFYEDQ

Using a St. Cyr slide with a length of 3:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

CSDVNDRRQBIARSBXOHNLRACNQQBNTWEYDCQ

Using a St. Cyr slide with a length of 5:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

BSDLMBNNOZHRMVXLKMLQZBMNPPAMSVEXCBP

Using a St. Cyr slide with a length of 7:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

ARCKLAMMNYGQLUKWJLKPYALMOOZLRUDWBAO

Using a St. Cyr slide with a length of 11:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

ZQBZDZRRJWFZQSJTEJTLWZJRRCCJPTCVZAN

Using a St. Cyr slide with a length of 13:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

YPAYCYQQIVEYPRISEDSKIYIQQBHIOSBUYZM

Using a St. Cyr slide with a length of 17:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL

Using a St. Cyr slide with a length of 19:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

WNYWAWOOTHWCNPGRCBPFGWGOOZFGMQWWSWK

Using a St. Cyr slide with a length of 23:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

VMXVZVNNSGVBMOFQBAOEVVNNYDPELVPVUVJ

Out of the attempted prime lengths, the decryption using a St. Cyr slide of length 17 produces a readable message: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".

Therefore, the deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".

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Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.

To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.

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 the complete question is:

Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.

9514 1404 393

Answer:

  3x +2y = 4

Step-by-step explanation:

The standard form equation is easily found with a suitable graphing application. (See attached.) It is ...

  3x +2y = 4

__

Given two points, you can find the slope-intercept form of the equation using the two-point form of the equation for a line ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -2)/(2 -0)(x -0) +2

  y = -3/2x +2

Answer:

  x = 5

Step-by-step explanation:

Maybe you have ...

  n(x) = 2x +7

and you want x for n(x) = 17.

  17 = 2x +7

  10 = 2x . . . . . . subtract 7

  5 = x . . . . . . . . divide by 2

Answer:

2. twice a number n subtracted from fifteen and four-tenths

Step-by-step explanation:

Answer:  7/2

Step-by-step explanation:

[tex]\lim_{x \to \frac{1}{2}} \dfrac{8x-3}{2x-1}-\dfrac{4x^2+1}{4x^2-1}[/tex]

Multiply the left fraction by 2x+1 so both fractions have the same denominator.

[tex]\lim_{x \to \frac{1}{2}} \dfrac{8x-3}{2x-1}\bigg(\dfrac{2x+1}{2x+1}\bigg)-\dfrac{4x^2+1}{4x^2-1}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{12x^2+2x-4}{4x^2-1}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{2(3x+2)(2x-1)}{(2x+1)(2x-1)}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{2(3x+2)}{2x+1}[/tex]

Directly input x = 1/2        [tex]\dfrac{2[3(\frac{1}{2})+2]}{2(\frac{1}{2})+1}\quad =\dfrac{7}{2}[/tex]

Answer:

8

Step-by-step explanation:

yep that's the answer all you have to do is.

{x + 3y <=36

{x + 1.5y <=20

{x = y

y+3y<=36

4y<=36

y<=9

y+1.5y<=20

2.5y<=20

y<=8

min(8,9) = 8

x = 8, y = 8

Answer:

y=[tex]\left \{ {{11.57+4.59x where x\leq 10} \atop {11.57+9.55x where x>10}} \right.[/tex]

Step-by-step explanation:

Here it is given basic daily charge is 11.57 cents.

Now, the variable charge is 4.59 cents per kWh when consumption is less than or equal to 10 kWh.

So, first piece is using total cost = fixed cost + variable cost.

So, y= 11.57+4.59x when x [tex]\leq[/tex] 10

Now,  if the consumption goes more than 10 kWh, the unit rate is 9.55 cents per unit. The equation for total cost is y=11.57+9.55x where x>10

So

Answer:

S = 5000

Step-by-step explanation:

10000/2 = 5000

This is the same as saying 6 cubic cm

====================================================

Work Shown:

d = density = 4 g/cm^3

m = mass = 24 g

v = volume = unknown

--------------

d = m/v

4 = 24/v

4v = 24 .... multiply both sides by v

v = 24/4 .... divide both sides by 4

v = 6 cm^3

Answer:

Adele used 25 5/12 cans of tomato sauce for the first batch of calzones.

Step-by-step explanation:

To find out how many cans of tomato sauce Adele used for the first batch of calzones, we can multiply the total number of cans of tomato sauce by the fraction used for the first batch.

The fraction used for the first batch is 5/12, so we can write:

(5/12) x 61

Simplifying the expression, we get:

(5 x 61) / 12 = 305/12

So Adele used approximately 25.42 cans of tomato sauce for the first batch of calzones.

To write this as a mixed number, we can divide the numerator by the denominator:

305 ÷ 12 = 25 with a remainder of 5

So the mixed number is:

25 5/12

Therefore, Adele used 25 5/12 cans of tomato sauce for the first batch of calzones.

Answer:
The amount of Radium-226 remaining after 2000 years is approximately 209.08 mg.

Step-by-step explanation:

We can use the formula for exponential decay to solve this problem. The formula is:

N = N0 * (1/2)^(t/T)

where N is the amount of substance remaining after time t, N0 is the initial amount of substance, T is the half-life of the substance, and t is the time elapsed.

In this case, we are given that the half-life of Radium-226 is 1590 years, and that we start with an initial amount of 500 mg. We want to find the amount remaining after 2000 years.

Substituting the given values into the formula, we get:

N = 500 * (1/2)^(2000/1590)

Evaluating the expression, we get:

N ≈ 209.08

So the amount of Radium-226 remaining after 2000 years is approximately 209.08 mg.

Answer:

B . 48- 6 = 42.

b =42/6=7

this is your answer

Answer:

mean

Step-by-step explanation:

mean .

mean is regarded as the average value calculated from a data set .

mean = total sum of values / total number of values.

Answer:

mean

Step-by-step explanation:

mean .

mean is regarded as the average value calculated from a data set .

mean = total sum of values / total number of values.

Step-by-step explanation:

Answer:

Ok:

Step-by-step explanation:

For a 45-45-90 triangle, the ratio between the sides are 1 – 1 – [tex]\sqrt{2}[/tex]. This can be proven by the pythagorean theorem. Therefore, if we let one of the sides by x, it means that x*[tex]\sqrt{2\\}[/tex] = 3 or x = [tex]\frac{3}{\sqrt{2} }[/tex].

Answer:

I don't really understand this one

But 32.99 is 65.98 when we multiply it by two I guess that's the answer

Answer:

x = 126°

x - 30 = 96°

Step-by-step explanation:

The sum of angles in a 5 sided polygon is 540°.

Hence all these angles would = 540

x + x + (x - 30) + (x - 30) + (x - 30) = 540

Collect like terms

5x - 90 = 540

Rearrange

5x = 540 + 90

5x = 630

x = 126

x - 30 = 96